Finding the Third Proportional to 83,094 and 181,740

Step by Step Solution

1. Step 1: Write the proportion equation
   83,094 : 181,740 = 181,740 : x
2. Step 2: Convert to fraction form
   83,094/181,740 = 181,740/x
3. Step 3: Cross multiply
   83,094x = 181,740 × 181,740
4. Step 4: Simplify right side
   83,094x = 33,029,427,600
5. Step 5: Solve for x
   x = 33,029,427,600/83,094
6. Step 6: Final answer
   x = 397,494.74